Pith Number

pith:7V3LVPSW

pith:2012:7V3LVPSW7T5KOZCVX6CUYAIDUD

not attested not anchored not stored refs pending

Twin Primes and the Zeros of the Riemann Zeta Function

H. J. Weber

arxiv:1208.3374 v3 · 2012-08-16 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7V3LVPSW7T5KOZCVX6CUYAIDUD}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:39:28.196184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd76babe56fcfaa76455bf854c0103a0f75677012143bca31900ffcf8f7971b7

Aliases

arxiv: 1208.3374 · arxiv_version: 1208.3374v3 · doi: 10.48550/arxiv.1208.3374 · pith_short_12: 7V3LVPSW7T5K · pith_short_16: 7V3LVPSW7T5KOZCV · pith_short_8: 7V3LVPSW

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/7V3LVPSW7T5KOZCVX6CUYAIDUD \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: fd76babe56fcfaa76455bf854c0103a0f75677012143bca31900ffcf8f7971b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1851ba3375185668f32b56af7107c0a1dc31a96cd09f8993efd3691f90442f3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-08-16T13:58:58Z",
    "title_canon_sha256": "5c490de1aa0ccb3f9c12352268b9dd0eb6aeccfacbe9d74b5877daf7172052cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3374",
    "kind": "arxiv",
    "version": 3
  }
}